\(2^{x+2}.3^{x+1}.5^x=10800\)
\(\Leftrightarrow2^x.2^2.3^x.3.5^x=10800\)
\(\Leftrightarrow30^x.12=10800\)
\(\Leftrightarrow30^x=900\)
\(\Leftrightarrow30^x=30^2\)
\(\Leftrightarrow x=2.\)
\(2^{x+2}.3^{x+1}.5^x=10800\)
\(\Rightarrow4.2^x.3.3^x.5^x=10800\)
\(\Rightarrow\left(2.3.5\right)^x.12=10800\)
\(\Rightarrow30^x=900=30^2\)
Vì \(30\ne-1;30\ne1;30\ne0\) nên \(x=2\).
Chúc bạn học tốt!!!